Our Goals

Some of the most important goals of our Collaboration include:

Construct an array of new special holonomy spaces, especially those with singularities compatible with realistic physical models in M-theory, e.g. compact singular Calabi–Yau and exceptional holonomy spaces with isolated conical singularities; collapsing families of exceptional holonomy spaces; new local models for singularities of exceptional holonomy spaces.

Understand the physical predictions for the geometry of special holonomy spaces and conversely understand the physics of new special holonomy spaces and their associated geometric structures.

Develop analytic and geometric foundations for potential enumerative theories “counting” higher dimensional instantons and calibrated submanifolds; understand the fundamental nature of the structure encoded by such a theory.